10101112002112 has 28 divisors (see below), whose sum is σ = 20124252305136. Its totient is φ = 5030434256000.

The previous prime is 10101112002109. The next prime is 10101112002131. The reversal of 10101112002112 is 21120021110101.

It is a happy number.

It is a super-2 number, since 2×10101112002112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101112002092 and 10101112002101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314386078 + ... + 314418205.

It is an arithmetic number, because the mean of its divisors is an integer number (718723296612).

Almost surely, 2^{10101112002112} is an apocalyptic number.

It is an amenable number.

10101112002112 is a deficient number, since it is larger than the sum of its proper divisors (10023140303024).

10101112002112 is an equidigital number, since it uses as much as digits as its factorization.

10101112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628804546 (or 628804536 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101112002112 its reverse (21120021110101), we get a palindrome (31221133112213).

The spelling of 10101112002112 in words is "ten trillion, one hundred one billion, one hundred twelve million, two thousand, one hundred twelve".